Question

3. Use the u-substitution method to calculate the following indefinite Integrals a. S(x2 - 4)2x dx u= b. Sx?e**dx u= dur C. Sx sinx? dx U= dus

Answer 1

@ for siner aux des doc) 925 du= d00²) x = n.on-, (du= 2x dx] Since - Cosx x dx = du (x since) dx = { sincu du = -cosu to = -cos x² + c Jx sinfdok = -cosx² + c 2

3) a) (62 - u)2xdx let (x2-4=u) sdu-d34) for wackel udu= ut [Selan= unt +c] = x + 16 = 8x² + c - x - 4x² +8+0 Joc Zubx dx = x² - 480² + c (6) 1x².87 x let (u= x3] du-d(x) du = 3x?dx] du = x²dx dan..? Jx² er dx = / ou du Xtc er to 1. Soc? ex dx = et 3tc